1471729920 has 216 divisors, whose sum is σ = 4825050048. Its totient is φ = 382279680.

The previous prime is 1471729901. The next prime is 1471729921. The reversal of 1471729920 is 299271741.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1471729921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14288589 + ... + 14288691.

Almost surely, 2^1471729920 is an apocalyptic number.

1471729920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1471729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412525024).

1471729920 is an abundant number, since it is smaller than the sum of its proper divisors (3353320128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1471729920 is an equidigital number, since it uses as much as digits as its factorization.

1471729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 1471729920 is about 38363.1323017295. The cubic root of 1471729920 is about 1137.4772159829.

The spelling of 1471729920 in words is "one billion, four hundred seventy-one million, seven hundred twenty-nine thousand, nine hundred twenty".